Yeast-Raised Doughnuts

Name: Yeast-Raised Doughnuts
Ingredients: 3 cups (360g) King Arthur Unbleached All-Purpose Flour; 1/4 cup (50g) sugar; 1/2 teaspoon salt; 2 teaspoons instant yeast or <a href="https://shop.kingarthurbaking.com//items/red-star-act; 1/4 teaspoon nutmeg; 1 large egg; 1 cup (227g) milk; 2 tablespoons (28g) butter melted; 1/2 teaspoon vanilla extract; 6 cups (907g) peanut oil or vegetable shortening for frying